The study of the solar convection zone has been given a new impetus
with what
promises to be a very powerful new tool in time-distance
helioseismology (Duvall et al. [CITE]). Using data obtained with
this technique, it has become possible to do a tomographic
reconstruction of structures in the convection zone. Most of the
work done on inversion of these data has relied on the ray
approximation to deliver sensitivity kernels for the inversion
procedures (Kosovichev [CITE]).
Inversions using non ray-theoretical kernels were shown by
Jensen et al. ([CITE]).
In this paper we go beyond the ray
approximation and derive sensitivity kernels based on the Rytov
approximation and Green's function theory. We derive an expression
for the sensitivity kernel using ray-based Green's functions and
show how further approximations can be done to increase the
computational efficiency.

Key words: Sun: helioseismology / Sun: general

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Appendices A–D are only available in electronic form at http://www.edpsciences.org

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